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Show all work and explanations please. thank you In the figure, Let R1 = 105 ?,

ID: 2144091 • Letter: S

Question

Show all work and explanations please. thank you

In the figure,  Let R1 = 105 ?, R2 = R3 = 50 ?, R4 = 70 ?, and  ? = 18 V; assume the battery is ideal.


What is the equivalent resistance of the network shown?

What is the current in resistor R1?

What is the current in resistor R2?

What is the current in resistor R3?

What is the current in resistor R4?

In the figure, Let R1 = 105 ?, R2 = R3 = 50 ?, R4 = 70 ?, and ? = 18 V; assume the battery is ideal. What is the equivalent resistance of the network shown? What is the current in resistor R1? What is the current in resistor R2? What is the current in resistor R3? What is the current in resistor R4?

Explanation / Answer

2,3, and 4 are iin parallel so
1/R = 1/50 + 1/50 + 1/70

R= 18.42 ohms
combine this with R1

R total = 105 + 18.42 = 123.42 ohms

things in series share current
so I total = I1

I1 = 18/123.42=0.146 A

V parallel = 18.42*0.146=2.69 V

things in prallel share voltage so

I2 = Vparallel/R2 = 2.69/50=0.0538 A

I3 = I2 = 0.0538 A

I4 = 2.69/70 = 0.0384 A